#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE Section 6.1 mentioned, B";

double f_if(float a, float b) {
        float r15303 = atan2(1.0, 0.0);
        float r15304 = 2.0f;
        float r15305 = r15303 / r15304;
        float r15306 = 1.0f;
        float r15307 = b;
        float r15308 = r15307 * r15307;
        float r15309 = a;
        float r15310 = r15309 * r15309;
        float r15311 = r15308 - r15310;
        float r15312 = r15306 / r15311;
        float r15313 = r15305 * r15312;
        float r15314 = r15306 / r15309;
        float r15315 = r15306 / r15307;
        float r15316 = r15314 - r15315;
        float r15317 = r15313 * r15316;
        return r15317;
}

double f_id(double a, double b) {
        double r15318 = atan2(1.0, 0.0);
        double r15319 = 2.0;
        double r15320 = r15318 / r15319;
        double r15321 = 1.0;
        double r15322 = b;
        double r15323 = r15322 * r15322;
        double r15324 = a;
        double r15325 = r15324 * r15324;
        double r15326 = r15323 - r15325;
        double r15327 = r15321 / r15326;
        double r15328 = r15320 * r15327;
        double r15329 = r15321 / r15324;
        double r15330 = r15321 / r15322;
        double r15331 = r15329 - r15330;
        double r15332 = r15328 * r15331;
        return r15332;
}


double f_of(float a, float b) {
        float r15333 = atan2(1.0, 0.0);
        float r15334 = a;
        float r15335 = r15333 / r15334;
        float r15336 = b;
        float r15337 = 2.0f;
        float r15338 = r15336 * r15337;
        float r15339 = r15335 / r15338;
        float r15340 = r15334 + r15336;
        float r15341 = r15339 / r15340;
        return r15341;
}

double f_od(double a, double b) {
        double r15342 = atan2(1.0, 0.0);
        double r15343 = a;
        double r15344 = r15342 / r15343;
        double r15345 = b;
        double r15346 = 2.0;
        double r15347 = r15345 * r15346;
        double r15348 = r15344 / r15347;
        double r15349 = r15343 + r15345;
        double r15350 = r15348 / r15349;
        return r15350;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r15351, r15352, r15353, r15354, r15355, r15356, r15357, r15358, r15359, r15360, r15361, r15362, r15363, r15364, r15365;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r15351);
        mpfr_init_set_str(r15352, "2", 10, MPFR_RNDN);
        mpfr_init(r15353);
        mpfr_init_set_str(r15354, "1", 10, MPFR_RNDN);
        mpfr_init(r15355);
        mpfr_init(r15356);
        mpfr_init(r15357);
        mpfr_init(r15358);
        mpfr_init(r15359);
        mpfr_init(r15360);
        mpfr_init(r15361);
        mpfr_init(r15362);
        mpfr_init(r15363);
        mpfr_init(r15364);
        mpfr_init(r15365);
}

double f_im(double a, double b) {
        mpfr_const_pi(r15351, MPFR_RNDN);
        ;
        mpfr_div(r15353, r15351, r15352, MPFR_RNDN);
        ;
        mpfr_set_d(r15355, b, MPFR_RNDN);
        mpfr_sqr(r15356, r15355, MPFR_RNDN);
        mpfr_set_d(r15357, a, MPFR_RNDN);
        mpfr_sqr(r15358, r15357, MPFR_RNDN);
        mpfr_sub(r15359, r15356, r15358, MPFR_RNDN);
        mpfr_div(r15360, r15354, r15359, MPFR_RNDN);
        mpfr_mul(r15361, r15353, r15360, MPFR_RNDN);
        mpfr_div(r15362, r15354, r15357, MPFR_RNDN);
        mpfr_div(r15363, r15354, r15355, MPFR_RNDN);
        mpfr_sub(r15364, r15362, r15363, MPFR_RNDN);
        mpfr_mul(r15365, r15361, r15364, MPFR_RNDN);
        return mpfr_get_d(r15365, MPFR_RNDN);
}

static mpfr_t r15366, r15367, r15368, r15369, r15370, r15371, r15372, r15373, r15374;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15366);
        mpfr_init(r15367);
        mpfr_init(r15368);
        mpfr_init(r15369);
        mpfr_init_set_str(r15370, "2", 10, MPFR_RNDN);
        mpfr_init(r15371);
        mpfr_init(r15372);
        mpfr_init(r15373);
        mpfr_init(r15374);
}

double f_fm(double a, double b) {
        mpfr_const_pi(r15366, MPFR_RNDN);
        mpfr_set_d(r15367, a, MPFR_RNDN);
        mpfr_div(r15368, r15366, r15367, MPFR_RNDN);
        mpfr_set_d(r15369, b, MPFR_RNDN);
        ;
        mpfr_mul(r15371, r15369, r15370, MPFR_RNDN);
        mpfr_div(r15372, r15368, r15371, MPFR_RNDN);
        mpfr_add(r15373, r15367, r15369, MPFR_RNDN);
        mpfr_div(r15374, r15372, r15373, MPFR_RNDN);
        return mpfr_get_d(r15374, MPFR_RNDN);
}

static mpfr_t r15375, r15376, r15377, r15378, r15379, r15380, r15381, r15382, r15383;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15375);
        mpfr_init(r15376);
        mpfr_init(r15377);
        mpfr_init(r15378);
        mpfr_init_set_str(r15379, "2", 10, MPFR_RNDN);
        mpfr_init(r15380);
        mpfr_init(r15381);
        mpfr_init(r15382);
        mpfr_init(r15383);
}

double f_dm(double a, double b) {
        mpfr_const_pi(r15375, MPFR_RNDN);
        mpfr_set_d(r15376, a, MPFR_RNDN);
        mpfr_div(r15377, r15375, r15376, MPFR_RNDN);
        mpfr_set_d(r15378, b, MPFR_RNDN);
        ;
        mpfr_mul(r15380, r15378, r15379, MPFR_RNDN);
        mpfr_div(r15381, r15377, r15380, MPFR_RNDN);
        mpfr_add(r15382, r15376, r15378, MPFR_RNDN);
        mpfr_div(r15383, r15381, r15382, MPFR_RNDN);
        return mpfr_get_d(r15383, MPFR_RNDN);
}